Statistics Measures and Distributions
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Questions and Answers

What is the relationship between the interquartile range and the semi-interquartile range?

  • The semi-interquartile range is twice the interquartile range.
  • There is no relationship between the interquartile range and the semi-interquartile range.
  • The semi-interquartile range is equal to the interquartile range divided by 2. (correct)
  • The semi-interquartile range is the square root of the interquartile range.

    • What does the relative distance of Q1 and Q3 from the median (Q2) indicate about the distribution of scores?

  • It indicates the skewness of the distribution.
  • It indicates the shape of the distribution. (correct)
  • It indicates the standard deviation of the distribution.
  • It indicates the variance of the distribution.

    • In a perfectly symmetrical distribution, what is the relationship between Q1 and Q3 relative to the median?

  • Q1 and Q3 will be equidistant from the median, but in opposite directions.
  • Q1 and Q3 will be exactly the same distance from the median. (correct)
  • There is no relationship between the distances of Q1 and Q3 from the median in a perfectly symmetrical distribution.
  • Q1 will be twice the distance from the median as Q3.

    • What does the lowercase italic 'x' represent in the formula for average deviation?

    <p>The score's deviation from the mean.</p> Signup and view all the answers

    How is standard deviation calculated?

    <p>It is the square root of the variance.</p> Signup and view all the answers

    What does negatively skewed examination results indicate about the test?

    <p>The test was too easy.</p> Signup and view all the answers

    What is the definition of the interquartile range?

    <p>The difference between the 75th and 25th percentiles</p> Signup and view all the answers

    Which measure of central tendency is defined as the middle score in a distribution?

    <p>Median</p> Signup and view all the answers

    Which of the following is a measure of variability that indicates how scores are scattered or dispersed?

    <p>Interquartile range</p> Signup and view all the answers

    What type of measurement is used in tests of hand grip strength?

    <p>Ratio</p> Signup and view all the answers

    Which measure of central tendency is the most frequently occurring score in a distribution?

    <p>Mode</p> Signup and view all the answers

    What is the definition of an interval scale?

    <p>A scale with equal intervals between numbers</p> Signup and view all the answers

    Which term refers to the steepness of a distribution in its center?

    <p>Kurtosis</p> Signup and view all the answers

    What does a positively skewed distribution indicate about the test?

    <p>The test was too difficult.</p> Signup and view all the answers

    Which type of curve describes the peakedness/flatness of a distribution?

    <p>Platykurtic</p> Signup and view all the answers

    What is a raw score that has been converted from one scale to another, using an arbitrarily set mean and standard deviation?

    <p>Standard score</p> Signup and view all the answers

    Which statistical measure indicates the dispersion or spread of scores in a distribution?

    <p>Standard deviation</p> Signup and view all the answers

    In what scenario would adding more items that are easier be desirable?

    <p>To better discriminate at the lower end of the test score distribution.</p> Signup and view all the answers

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